44 BELL SYSTEM TECHNICAL JOURNAL 



XII. —General Low-and-Band Pass Wave-Filters of Ladder Type 

 XI1 i Xll 2 



m i L,|< 



—nmr- 



r WSW 



m 2 rL,k 



cL,k 



1 — II leL 'k a aL ik§r 



m 2 ~r ^- y b ~^ ~d~ 



L 2 k 



L 2 k 



Lzk 



_LilJ LAjlJ LAilJ 5^T~I J 



:1k 1 ' aC^ll cC^I ^— =L=m,C 



m? rC 2k : 





K 



f. C f- f, 



Z<2fe = 



F, F 2 „ 



(/o-/i+/ 2 ) 2 i? 



T(/0 "/I +/l) ' "*" 4tT [(/o/i -f f 2 +fj 2 ) (/ Q _/, +/ 2 ) - /^/J- 



(/0-/.+/2) 2 „ 1 



47r[(/o/ 1 -/o/ 2 +/1/2) (/0 - /, +/ 2 ) - /o/i/2]^' 



1 1,1 



2k ir(fo-fi+h)R' 



VO Jl /2/ 

 „, _^ /2oo /2i / \ /l/2/2«, /2qo/ 



/l/« 



mj = 



•1 [H^)«*)-£IHS] 



/o / i/2 :,.„ 6, 



C/o-/i+/t)/ii 



, _ (/.-/i+/ a ) 2 [(i -m^MM -/o'/iV, 8 ! / /i4\ 

 4gr/o/i 2 /2 2 [(/o-/ 1 +/2)/i 2 .-/o/i/ 2 ] V M^' 



._ /o/i/if 



-d, 



Cfo-/i+/«)/»£ 



d _ (fo-fi+f2Y[a-m l *)f 1 l > f&-f Q *f 1 *f 3 *\ ( f&\ 

 4Ar/ / 1 / 2 / 1 2 c [(/ -/ 1 +/ 2 )/ 2 2 > -/ / 1 / 2 ] I 1 f&)> 



f, 



f' = 



f= 



(Jo-fi+fi)fofJi ' Vl-Mi'/iJj. 



(/0-/1+/2) 2 



[(1 -m^MM -/o 2 /i 2 /2 2 ][(l-m 1 2 )/ 1 g,/ 2 j -/pfryfl 



[(1 -mj'Kw.-A)/^/,! -mi/o 2 /r/ 2 2 | [(1 -«, ! )MM - (/0-/1 + / 2 )/oAfi 



